SU(3)-structures on quotients of 3-Sasakian orbifolds

Quentin Peres, Dimitrios Tsimpis

We show that if $(S,g,{\xi }_i,{\eta }_i,{\Phi }_i)$ is a quasi-regular $3$-Sasakian orbifold of dimension $7$, then its quotient $Z$ by one of the Reeb vector fields inherits an $SU(3)$-structure…